耦合可激系统中多样性分布引起的非普适结果
Non-universal results induced by diversity distribution in coupled excitable systems
摘要：
我们考虑一个系统的全球耦合的积极的转子附近的可激发的制度。该系统显示了一个过渡到一个状态的集体发射引起的混乱。我们发现，这种过渡一般为任何多样性分布定义良好的时刻。奇怪的是，对于洛伦兹分布（广泛用于类Kuramoto系统），过渡不存在。这警告使用洛伦兹分布来理解耦合振荡器的一般性质。
英文摘要：
We consider a system of globally coupled active rotators near the excitable regime. The system displays a transition to a state of collective firing induced by disorder. We show that this transition is found generically for any diversity distribution with well defined moments. Singularly, for the Lorentzian distribution (widely used in Kuramoto-like systems) the transition is not present. This warns about the use of Lorentzian distributions to understand the generic properties of coupled oscillators.
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